1205151200 has 72 divisors (see below), whose sum is σ = 3209560200. Its totient is φ = 438233600.

The previous prime is 1205151179. The next prime is 1205151229. The reversal of 1205151200 is 21515021.

It is a super-2 number, since 2×1205151200² = 2904778829722880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59675 + ... + 77274.

It is an arithmetic number, because the mean of its divisors is an integer number (44577225).

Almost surely, 2^1205151200 is an apocalyptic number.

1205151200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205151200 is an abundant number, since it is smaller than the sum of its proper divisors (2004409000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205151200 is a wasteful number, since it uses less digits than its factorization.

1205151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136980 (or 136967 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 1205151200 is about 34715.2876986494. The cubic root of 1205151200 is about 1064.1769449630.

Adding to 1205151200 its reverse (21515021), we get a palindrome (1226666221).

The spelling of 1205151200 in words is "one billion, two hundred five million, one hundred fifty-one thousand, two hundred".